Home / 102,075.04-153,118.52-31,000

Finding the Fourth Proportional to 102,075.04, 153,118.52 and 31,000

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Solution

The fourth proportional to 102,075.04, 153,118.52 and 31,000 is: 46,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,075.04 : 153,118.52 = 31,000 : x
  2. Step 2: Convert to fraction form
    102,075.04/153,118.52 = 31,000/x
  3. Step 3: Cross multiply
    102,075.04x = 153,118.52 × 31,000
  4. Step 4: Simplify right side
    102,075.04x = 4,746,674,120
  5. Step 5: Solve for x
    x = 4,746,674,120/102,075.04
  6. Step 6: Final answer
    x = 46,501.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.